Author(s)

Maria Beatriz Pintarelli

Facultad de Ingenieria, Universidad Nacional de La Plata, La Plata, Argentina.

We consider linear partial differential equations of first order
on a region . We will see that we can write the equation in partial derivatives as an Fredholm integral equation of the first kind and will solve this latter with the techniques of inverse problem moments. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on problem of moments.

Linear PDEs, Freholm Integral Equations, Generalized Moment Problem

Pintarelli, M. (2015) Linear Partial Differential Equations of First Order as Bi-Dimensional Inverse Moments Problem. Applied Mathematics, 6, 979-989. doi: 10.4236/am.2015.66090.